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Related papers: Galileons as Wess-Zumino Terms

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The galileon model was recently proposed to locally describe a class of modified gravity theories, including the braneworld DGP model. We discuss spontaneous symmetry breaking of the self-accelerating branch in a multi-galileon theory with…

High Energy Physics - Theory · Physics 2011-03-21 Shuang-Yong Zhou

We analyse the global symmetry structure of two-dimensional Non-Linear Sigma Models with Wess-Zumino term. When the target space has a compact isometry without fixed points, the theory has a pair of (group-like) global symmetries and many…

High Energy Physics - Theory · Physics 2026-01-29 Guillermo Arias-Tamargo , Maxwell L. Velásquez Cotini Hutt

We analyze systematically several deformations arising from two-dimensional harmonic oscillators which can be described in terms of $\cal{D}$-pseudo bosons. They all give rise to exactly solvable models, described by non self-adjoint…

Mathematical Physics · Physics 2015-06-23 F. Bagarello , F. Gargano , D. Volpe

We show that every Galileon theory admits a dual formulation as a Galileon theory with new operator coefficients. In n dimensions a free scalar field in Minkowski spacetime is dual to a (n+1)-th order Galileon theory which exhibits the…

High Energy Physics - Theory · Physics 2014-05-07 Claudia de Rham , Matteo Fasiello , Andrew J. Tolley

We analyse the relation between anomalies in their manifestly supersymmetric formulation in superspace and their formulation in Wess-Zumino (WZ) gauges. We show that there is a one-to-one correspondence between the solutions of the…

High Energy Physics - Theory · Physics 2020-02-19 Sergei M. Kuzenko , Adam Schwimmer , Stefan Theisen

We investigate a new class of scalar multi-galileon models, which is not included in the commonly admitted general formulation of generalized multi-galileons. The Lagrangians of this class of models, some of them having already been…

High Energy Physics - Theory · Physics 2017-04-05 Erwan Allys

A formalism describing the dynamics of classical and quantum systems from a group theoretical point of view is presented. We apply it to the simple example of the classical free particle. The Galileo group $G$ is the symmetry group of the…

High Energy Physics - Theory · Physics 2016-08-17 Santiago García

Supersymmetry of the Wess-Zumino (N=1, D=4) multiplet allows field equations that determine a larger class of geometries than the familiar Kahler manifolds, in which covariantly holomorphic vectors rather than a scalar superpotential…

High Energy Physics - Theory · Physics 2011-04-26 K. S. Stelle , A. Van Proeyen

We study the $G$-strand equations that are extensions of the classical chiral model of particle physics in the particular setting of broken symmetries described by symmetric spaces. These equations are simple field theory models whose…

Exactly Solvable and Integrable Systems · Physics 2018-11-09 Alexis Arnaudon , Darryl D. Holm , Rossen I. Ivanov

Gauged linear sigma models with C^m-valued scalar fields and gauge group U(1)^d, d \leq m, have soliton solutions of Bogomol'nyi type if a suitably chosen potential for the scalar fields is also included in the Lagrangian. Here such models…

High Energy Physics - Theory · Physics 2009-10-30 B. J. Schroers

Irreducible sigma models, i.e. those for which the partition function does not factorise, are defined on Riemannian spaces with irreducible holonomy groups. These special geometries are characterised by the existence of covariantly constant…

High Energy Physics - Theory · Physics 2009-10-09 P. S. Howe , G. Papadopoulos

We argue that extra dimensions with a properly chosen compactification scheme could be a natural source for emergent gauge symmetries. Actually, some proposed vector field potential terms or polynomial vector field constraints introduced in…

High Energy Physics - Theory · Physics 2016-12-21 J. L. Chkareuli , Z. Kepuladze

Elementary features of galileon models are discussed at an introductory level. Following a simple example, a general formalism leading to a hierarchy of field equations and Lagrangians is developed for flat spacetimes. Legendre duality is…

High Energy Physics - Theory · Physics 2020-02-14 Thomas L. Curtright , David B. Fairlie , Hassan Alshal

We present the first example of an interacting Carroll supersymmetric field theory with both temporal and spatial derivatives, belonging to the Galileon class, where the non-linear field equation remains second-order in derivative. To…

High Energy Physics - Theory · Physics 2025-04-21 Utku Zorba , Ilayda Bulunur , Oguzhan Kasikci , Mehmet Ozkan , Yi Pang , Mustafa Salih Zog

The Nelson-Seiberg theorem dictates conditions for the spontaneous breaking of the supersymmetry in Wess-Zumino models with generic, possibly non-renormalizable, superpotential; the existence of the R-symmetry is necessary while the…

High Energy Physics - Theory · Physics 2023-07-12 Yu Nakayama , Takanobu Yoshida

Infinite-dimensional Galilean conformal algebras can be constructed by contracting pairs of symmetry algebras in conformal field theory, such as $W$-algebras. Known examples include contractions of pairs of the Virasoro algebra, its $N=1$…

High Energy Physics - Theory · Physics 2018-03-14 Jorgen Rasmussen , Christopher Raymond

The so-called covariant Poincare lemma on the induced cohomology of the spacetime exterior derivative in the cohomology of the gauge part of the BRST differential is extended to cover the case of arbitrary, non reductive Lie algebras. As a…

Mathematical Physics · Physics 2015-06-26 A. Barkallil , G. Barnich , C. Schomblond

The semisimple part of d-dimensional Galilean conformal algebra g^(d) is given by h^(d)=O(2,1)+O(d), which after adding via semidirect sum the 3d-dimensional Abelian algebra t^(d) of translations, Galilean boosts and constant accelerations…

Mathematical Physics · Physics 2011-09-29 Sergey Fedoruk , Jerzy Lukierski

To illustrate the conceptual problems for the low-energy symmetries in the continuum of spacetime emerging from the discrete quantum geometry, Galileo symmetries are investigated in the polymer particle representation of a non-relativistic…

General Relativity and Quantum Cosmology · Physics 2008-11-26 Dah-Wei Chiou

We explore field theories of a single p-form with equations of motions of order strictly equal to two and gauge invariance. We give a general method for the classification of such theories which are extensions to the p-forms of the Galileon…

High Energy Physics - Theory · Physics 2016-04-27 Cédric Deffayet , Shinji Mukohyama , Vishagan Sivanesan
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